复杂多个体时滞网络系统的脉冲一致性  

Impulsive Consensus Problem in Complex Delayed Networked Multi-agent Systems

作　　者：周进[1] 吴泉军[1] 刘曾荣[2] 

机构地区：[1]上海大学上海市应用数学和力学研究所,上海200072 [2]上海大学系统生物研究所,上海200444

出　　处：《上海大学学报（自然科学版）》2009年第6期586-593,共8页Journal of Shanghai University:Natural Science Edition

基　　金：国家自然科学基金资助项目(10672094;10972129;10832006);教育部博士点基金资助项目(200802800015);上海市教委科技创新基金资助项目(10ZZ61);上海市重点学科建设资助项目(S30106);上海大学系统生物基金资助项目;上海大学研究生创新基金资助项目

摘　　要：从动力学与控制的角度考虑具有固定与切换拓扑多个体时滞有向网络系统的平均一致性问题.基于时滞动力系统的脉冲控制理论,提出了在通讯时滞环境中两个网络的脉冲一致性协议,并给出了寻求相应平均一致性问题简单而又一般的判据.最显著的特征是提出的第一个一致性协议对于任意的通讯时滞都是有效的,第二个一致性协议能够使得整个网络指数地达到平均一致.所获得结果表明,一致性协议中的脉冲增益在寻求平均一致性问题中具有相当重要的作用.数值模拟进一步验证了理论结果的正确性.This paper considers average consensus problems in directed delayed networked multi-agent systems having fixed topology as well as switching topology from the view of dynamics and control.Based on the impulsive control theory of delayed dynamical systems,two consensus protocols of the networks with communication delays are proposed.Some simple yet generic criteria for solving the average consensus problem are analytically derived.The distinctive features of this work indicate that the first consensus protocol is valid for any communication delays,and the second one is effective for all the nodes of the network achieving average global consensus exponentially.It is shown that the impulsive gain in the protocols plays a key role in seeking average consensus.Moreover,numerical simulations illustrate correctness of our theoretical results.

关 键 词：一致性问题 多个体时滞网络系统 有向网络 固定和切换拓扑 一致性协议 脉冲增益 

分 类 号：O231[理学—运筹学与控制论] O317[理学—数学]